In solving the Buckley-Leverett problem, the use of higher order Hermitian polynomials at the frontal location and lower order ones elsewhere in the solution domain yields an enhanced frontal definition. This improvement is achieved without a significant increase in computational effort.
Orthogonal collocation with ‘adaptive’ finite elements
✍ Scribed by M. F. N. Mohsen; George F. Pinder
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 391 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0029-5981
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The method of orthogonal collocation on finite elements is described for solution of ordinary and partial differential equations. Benefits and limitations of the method are outlined by comparison with Galerkin finite element methods. Practical difficulties are given which arise in the application
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